import openturns as ot
for n in [1, 2, 3, 7]:
    for rule in [ot.FejerAlgorithm.FEJERTYPE1, ot.FejerAlgorithm.FEJERTYPE2, ot.FejerAlgorithm.CLENSHAWCURTIS]:
        algo = ot.FejerAlgorithm([n], rule)
        print(f"n={n} rule={rule}", algo.getNodes().asPoint(), algo.getWeights())

n=1 rule=0 [6.12323e-17] [2]
n=1 rule=1 [6.12323e-17] [0]
n=1 rule=2 [-nan] [inf]
n=2 rule=0 [0.707107,-0.707107] [1,1]
n=2 rule=1 [0.5,-0.5] [0,0]
n=2 rule=2 [1,-1] [1,1]
n=3 rule=0 [0.866025,6.12323e-17,-0.866025] [0.444444,1.11111,0.444444]
n=3 rule=1 [0.707107,6.12323e-17,-0.707107] [0.5,1,0.5]
n=3 rule=2 [1,6.12323e-17,-1] [0.333333,1.33333,0.333333]
n=7 rule=0 [0.974928,0.781831,0.433884,6.12323e-17,-0.433884,-0.781831,-0.974928] [0.0867162,0.287831,0.398242,0.454422,0.398242,0.287831,0.0867162]
n=7 rule=1 [0.92388,0.707107,0.382683,6.12323e-17,-0.382683,-0.707107,-0.92388] [0.167504,0.283333,0.332496,0.433333,0.332496,0.283333,0.167504]
n=7 rule=2 [1,0.866025,0.5,6.12323e-17,-0.5,-0.866025,-1] [0.0285714,0.253968,0.457143,0.520635,0.457143,0.253968,0.0285714]